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Spectral Shaping for Codes with P.S.D. Expressed by Rational FunctionsALEXANDRU, N. D. , ALEXANDRU, M. L.
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Codes, Digital filters, Linear predictive coding, Markov processes, Spectral analysis
signals(4), digital(4), codes(4), alexandru(4)
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About this article
Date of Publication: 2008-04-02
Volume 8, Issue 1, Year 2008, On page(s): 31 - 35
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2008.01006
Web of Science Accession Number: 000259903500006
SCOPUS ID: 67749131182
Based on the fact that spectral shaping of digital data signals is obtained by encoding and that there exist spectrally equivalent digital filters, the method of Justesen was applied to derive digital filters that approximate the power spectral density (p.s.d.) of a code. The (2,2,3) code, which belongs to the class of FAS (Finite Autocorrelation Sequence) codes showing a limited number of values of the autocorrelation function that are not zero, was used as an example. The spectral properties of the (2,2,3) code are thoroughly investigated in terms of autocorrelation function values and p.s.d. both as a function of normalised frequency fn and the probability of a mark p. The prediction coefficients for the digital filter implementations are derived using approximations by Markov processes of the third, fourth and fifth order. The resulting spectra are compared with those of (2,2,3) code.
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 N. D. Alexandru, V. Cehan and L. Pancescu, "An Extended Method for Calculating the Autocorrelation Function for 1I-2O Codes Based on Entry and Departure Matrices", International Conference Communications'2000, Bucharest, Romania, pp. 55-58, 2000.
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Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
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